GCF of 1356/344, 1682/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1356/344, 1682/366 i.e 2/62952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1356/344, 1682/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1356/344,1682/366?
Given fractions are 1356/344,1682/366
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1356/344,1682/366, numerators are 1356,1682
Denominators are 344,366
The GCF of 1356,1682 is 2 .
LCM of 344,366 is 62952.
The greatest common factor of 1356/344,1682/366 = [GCF of 1356,1682]/[LCM of 344,366]= 2/62952
Therefore, the GCF of 1356/344,1682/366 is 2/62952.
To find the highest common factor of 1356,1682, we have to find the factors of both numbers and list the highest common factor.
The factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356
The factors of 1682 are 1, 2, 29, 58, 841, 1682
The HCF of 1356,1682 is 2.
Lets's calculate GCF of 1356,1682
| 2 | 1356, 1682 |
| 678, 841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1356,1682 By Matching Biggest Common Factor Method
Now, list down the factors of 1356
:1,2,3,4,6,12,113,226,339,452,678,1356
Now, list down the factors of 1682
:1,2,29,58,841,1682
Greatest Common Factor
We found the factors 1356,1682 . The biggest common factor number is the GCF number.
So the greatest common factor 1356,1682 is 2.
Lets's calculate LCM of 344,366
| 2 | 344, 366 |
| 172, 183 |
∴ So the LCM of the given numbers is 2 x 172 x 183 = 62952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62952
Therefore, the GCF of Fractions 1356/344,1682/366 is 2/62952
Least Common Multiple of 344,366 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 344,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(344,366) x common factors =2 x 1 = 2
LCM(344,366) = ( 344 × 366 ) / 2
LCM(344,366) = 125904 / 2
LCM(344,366) = 62952
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FAQs on GCF of Fractions of 1356/344, 1682/366
1. What is the HCF of 1356,1682?
The HCF of 1356,1682 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1356/344, 1682/366?
Answer: GCF of Numerators as per given numbers 1356/344, 1682/366 is
GCF of Numerators i.e. for 1356,1682 is 2
LCM of denominators i.e. for 344,366 is 62952.
Thus, GCF of Fractions is 2/62952.Finally, GCF of Fractions for 1356/344, 1682/366 is 2/62952.